1051test2answersW09 - Circle instructor Poduska or Morrow 1...

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Unformatted text preview: Circle instructor: Poduska or Morrow 1 Name: 90 LVNWV" ' Lab period: Student Number: MEMORIAL UNIVERSITY OF NEWFOUNDLAND DEPARTMENT OF PHYSICS AND PHYSICAL OCEANOGRAPHY Physics 1051 Winter 2009 Term Test 2 March 20, 2009 INSTRUCTIONS: 1. 2. 3. Do all questions. Marks are indicated in the left margin. Budget time accordingly. Write your name and student number on each page. You may use a calculator. All other aids are prohibited. Write answers neatly in space provided. If necessary, continue onto the back of the page. Do not erase or use “whiteout” to correct answers. Draw a line neatly through material to be replaced and continue with correction. Assume all information given is accurate to 3 significant figures. Don’t panic. If something isn’t clear, ASK! SEE LAST PAGE FOR SOME POTENTIALLY USEFUL FORMULAE AND CONSTANTS For office use onl : Circle instructor: Poduska or Morrow 2 Name: Lab period: Student Number: [10] 1. The graph below shows equipotential lines around three point charges; A, B, C, and D. The lines are drawn in steps of 20 V for all voltages between -60 V and +60 V. The electric potential is taken to be 0 at infinity. y(cm) (a) What is the sign of charge A? Which other charge has the same sign? 3 fwd 0 F l} 5 A/ééflI’II/i c H meat: c #493 war/mu; (b) Carefully draw the electric field line that starts on one charge, passes through point k, and ends on another charge. Be sure that the direction of the field line and the charges on which it starts and ends are clearly shown. $55 "puma/m: imam/t rim: ant/E 1! Fifi/’[a/mcau mg 70 [09 Mo nan/m; Alli/is” fir mass/1w: . , [Mam/c FIELD zwf 57,72 r; 04/ Parr/Vi, twp; DIVA/1517114? - (c) Is the magnitude of the electric field larger at point e or at point f? Briefly explain your choice. — Ewe aw an /E/ML 1’. ,fleasan: Sépanzlvm 7fl€$mpalenlwfl NIH fl)» glwcél/ S"WM/er" hear @ ,IZM 1726!” P /£/‘ Agog So swaflér A0? i‘a/Ip/I‘es #0470.» /f/ (d) Using the scale on the x-axis and the equipotentials, estimate the magnitude of the electric field at point e. /f€/:4L/ : RQV’ [’JOV): 4,4454%”: 447FO/fl7‘ 5‘1, 0“]0/1 (6) How much work is done by the electric field as an electron is moved from point h to point 9? (hint: be careful with the sign) , 0" 19f : g(l/3vI/2).- «/.&X/o"76x(v,zou- [rm/)4 “MM «AV: ~7.6xxo"5f. AU «1'2ch wort 57 exam flail : , I’D weak 5'»an flega/mé clxaye 7y/t7 /,~¢M mare 47M flvfafiafl‘ 0n aye/vie / fl/cz ‘ 12 6/ r‘; p /a 56/4} , l J ' two/Z 6/ 6/4707“? flflék nefafig ' /05/A‘€ flatéwlhbp 7L0"i7/lor(, ”25 due it (Jet/[Vii /" Circle instructor: Poduska or Morrow 3 Name: Lab period: Student Number: [10] 2. (a) A cavity within an uncharged conducting object contains a point charge q = —5.0x10‘15 C as shown. (i) What is the total flux through a spherical closed surface a that is embedded entirely within the conducting material? H a." (2.479% M cow/((5% . awn/w (011/ Burn/v; ”grim/ya, 2:0 . , .3 é; : 62.44 :0 3? g7f‘ww7ltd = 0‘ a (ii) What is the magnitude of the total flux through a spherical closed surface b that entirely encloses the conducting object? Canada» An; no ”cf 0144/7! go (La/7? C'Mé/flfé/gy 5" «5300 6' ‘ > / en / I -fiY/o”/”c/ —¢ 1 'fiEW ~14321 ‘/ a r :~9“X” ’V74f Ea gnaw/0' ,6, A/,'”7 (iii) What is the total charge on the outside surface of the conductor? 5P f/J {Ir/flue a ix [2 32/0) (larva om x‘u ”er 4dr 4410/ Lay/t7 was} A0 ’5 5 4' $‘-0X/D""vc~ /3V7 (an/Mall” ”9 “”44”"7’5/4 7X?”%”62 Jan/e a“ 0“; SUM/ace /¢0n/dc/£w ”ms/‘56 +5 5 “fax/o ”/rC Gaussian (b) The figure to the right shows a portion of an infinite, uniform sheet /’ surface of charge (positive). A cylindrical Gaussian surface with a cross- sectional area A = 0.03 m2 is drawn on the sheet. The electric flux through the top surface of the cylinder is 15.0 N - m2 / C . a (i) What is the magnitude of the electric field at a point 2.0 cm above the surface ofthe sheet? 5‘ ofik’df MQWV7F¢€ $A’C'IL [‘5 cud/2mm, )4» /& efl/ Me Gausnac cyfiu/tr- (Idol/efle flee/f J ¢7W ’ trap V ,9 w: W/ , m 4% .r 0 r 03 I” 2 (ii) What is the total flux through the closed cylindrical Gaussian surface drawn on the figure? [f ”j; £594“ I‘M, Gaza“ 14-44 Cf “J! ’A) Wm» '7 @50/‘4’01 pa?! addwfla&)“ ¢ mm; : rap ‘ difomw (aw/min s/LQ' : 0) (iii) What is the charge per unit area, 0' , on the sheet? @% :6W% - z ,y 2 : gwyfl/m/z: ; 30’V"%,( a: 30 WMZ ‘3 027:” 0 Circle instructor: Poduska or Morrow 4 Name: Lab period: Student Number: [10] 3. A uniform magnetic field of 13 T is directed into the page as shown. Two oppositely charged plates, Cl and b, are separated by 2.5 mm and located so that the uniform electric field between them is perpendicular to the magnetic field. While it is between the charged plates, an ion with a charge of +e (1.6 X 10'19 C), a mass of 1.6 x10"25 kg and a speed of 3.0 x104 m/s travels in a straight line without being deflected. (a) What is the electric field in the region between the plates? Give your answer in unit vector notation. (b) What is the potential difference, V}, -— V; , y between the charged plates? T (0) Beyond point e on the ion’s path, there is no electric field and its motion is only affected by the . . . .. uniform magnetic field. What is the magnitude of T x x X xx x . . . . 2.5mm @» __.x the centripetal force on the 1011 after it passes pomt i xv=3.0))é10‘ m)/<s Cx \‘x x c? Is its path clockwise or counterclockwise? b . “. x x x x x x (d) What is the radius of the ion’s path once it is beyond point c and affected only by the uniform X X X X X X magnetic field? (a) pflr‘ far/("if E Marc 1‘” a §/"GI‘9/¢f /m£3 ézve A ram — My. 2 x {—w 5/ A g - 3.67/0 (”V J J ,_5’ ‘ «3 0.; l/rl/a: ’3_?K/0 ,5 ”Mm m “5‘ (C) CEn/‘N‘pew /‘w¢£ r? f/V:M [I ”(47%“; fl’fléé. .'./fq/. mg): 5 /77//137/ : [Dix/047C x 3x10“? »< /37’ : 61.14% Him/V (d) /ii/: ”7/?” 2. J Irv/”l K (3 X/fl‘f 2V) I" Z . 00’ /\= Ml/ ; W [577 5.” X/U' 3: 07,3 X/O m‘ j glg mm‘ Circle instructor: Poduska or Morrow 5 Name: Lab period: Student Number: [10] 4. A uniformly charged ring of radius a is located with its centre at the origin such that the plane of the ring is perpendicular to the x-axis. (a) If the total charge on the ring is Q, how much charge, dq, is found on the very small ring segment of length ds, as shown? (b) What is the contribution to the electric potential at point P from the charge in segment ds? Assume V = 0 at infinity. (c) Starting from V = ke J41 , find an expression for the electric potential at point P r due to the entire ring. ((1) What is the electric potential at the origin due to the entire ring? V l i (e) Assume that the radius of the ring is a = 2.5 cm and that the total charge on the ring is Q = 6.O><10'12 C . How much work is done by the electric field if a particle with a charge of q = —3.2 XlO'19 C is moved from the origin to point P at L = 9.0 cm ? (W566; DEXQ 3110! (H PW [Ir filta’f) V; [:3 ,‘eAV: % 5 iifi ‘3’;— f‘nf (3mm m»? , 7 ’ E? k “2W4 Elna aha - /z& 452 (A) M 67/”ng 1 £:0 5) ”~73“: a, , . , - /2 In? A ‘, AV- J» — ,J (6) U 3 5” W a .17 ‘7 - l : «3.2m: Cx 3.9%,0 142* 5W ’c’x _,_____._ I j 1 z #(,02{m)+u07m) , 015’»? -l? 3 7+ 51 06 X/D I a «17 W54, e/H/‘No flaMr ’AU : «ma/We J’ ’ \ 1k (Zleol-m‘c force 014 fie7afi‘r8 alt/(.76 rs 0ffl0§ //\V\-« ar/‘7M 5 P S‘o Lv’ 1‘s ne7afiw) , ,4, dap/ndflrfi Circle instructor: Poduska or Morrow 6 Name: Lab period: Student Number: Some Potentially Useful Formulae and Constants: E2=ke qlgz £12 qq r U12=ke 1 2 "12 E=kei2r‘ r 3» AU=—q[E-cz§ —* q. A E=keZ—‘3 3» in AV=VB—VA=—jE-d§ A ~ qu E=k ————r -— eJrz AU—qAV CDE=JE'dA E=_ d_V;+d_V;-+flk dx dy dz qinside (I) E 60 R=M I V=hg r F3=q17x§ V=kezi v2 1' ri (Ir:— r Vzke fl 4 3 r Vsphere=37rr C circle = 27rr (circumference) 2 Asphere=4flr A =7rr2 circle Physical constants: k = 1 =899x109N-m2/C2 e=1.602><10‘19 c e 47:30 ' go =8.85x10'12 C2 /N-m2 me =9.11x10’31 kg Mathematical formulae: in; I__d_x_=_i__ r2 _ r (x2+y2)m y2 x2 +y2 Iii—x—zlnx J‘ xdx 2— 1 x (x2+y2)m x2 +y2 NW 1n[x+m] —y A - E = ABcosa = AxBx + AyBy + A2132 21x1”; = (/1sz #1sz )2 +(Asz —Asz)]'+(AxBy —AyBx)12 ...
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